# Sum of Squares

The number $$648000$$ can be represented in two ways as the sum of two perfect squares, as follows:

$${ a }^{ 2 }+{ b }^{ 2 }=648000$$ and $${ c }^{ 2 }+{ d }^{ 2 }=648000$$, such that $$a\neq b\neq c\neq d$$, and $$a, b, c, d$$ are positive integers.

Find $$a+b+c+d$$

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